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Finding the Fourth Proportional to 9,229.31, 13,847.41 and 5,534.19

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Solution

The fourth proportional to 9,229.31, 13,847.41 and 5,534.19 is: 8,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.31 : 13,847.41 = 5,534.19 : x
  2. Step 2: Convert to fraction form
    9,229.31/13,847.41 = 5,534.19/x
  3. Step 3: Cross multiply
    9,229.31x = 13,847.41 × 5,534.19
  4. Step 4: Simplify right side
    9,229.31x = 76,634,173.74
  5. Step 5: Solve for x
    x = 76,634,173.74/9,229.31
  6. Step 6: Final answer
    x = 8,303.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.